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Finding the Fourth Proportional to 56,178.38, 77,531.09 and 31,032.74

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Solution

The fourth proportional to 56,178.38, 77,531.09 and 31,032.74 is: 42,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,178.38 : 77,531.09 = 31,032.74 : x
  2. Step 2: Convert to fraction form
    56,178.38/77,531.09 = 31,032.74/x
  3. Step 3: Cross multiply
    56,178.38x = 77,531.09 × 31,032.74
  4. Step 4: Simplify right side
    56,178.38x = 2,406,002,157.89
  5. Step 5: Solve for x
    x = 2,406,002,157.89/56,178.38
  6. Step 6: Final answer
    x = 42,827.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.